title: Matrix Free approach for Raviart-Thomas anisotropic Tensor Product Finite Elements
creator: Mehta, Saurabh
subject: ddc-004
subject: 004 Data processing Computer science
subject: ddc-510
subject: 510 Mathematics
description: In this thesis, we develop techniques for fast, efficient cell based operator evaluation of Raviart-Thomas finite elements and thereby extend the existing implementation of matrix free framework in deal.ii. The extensions allow the framework to also support anisotropic vector-valued finite elements in addition to existing isotropic Lagrangian finite elements. Tests on finite element operators in divergence conforming spaces for Mixed diffusion equation and Stokes equations show that the method is sufficiently accurate (relative error 10e-16) and for RT2 is already twice as fast as corresponding sparse matrix based solution.
date: 2018
type: Master's thesis
type: info:eu-repo/semantics/masterThesis
type: NonPeerReviewed
format: application/pdf
identifier: https://archiv.ub.uni-heidelberg.de/volltextserverhttps://archiv.ub.uni-heidelberg.de/volltextserver/24230/8/MehSa_Thesis-1.pdf
format: application/pdf
identifier: https://archiv.ub.uni-heidelberg.de/volltextserverhttps://archiv.ub.uni-heidelberg.de/volltextserver/24230/14/MehSa_Thesis_old_version.pdf
identifier: DOI:10.11588/heidok.00024230
identifier: urn:nbn:de:bsz:16-heidok-242308
identifier:   Mehta, Saurabh  (2018) Matrix Free approach for Raviart-Thomas anisotropic Tensor Product Finite Elements.  [Master's thesis]     
relation: https://archiv.ub.uni-heidelberg.de/volltextserver/24230/
rights: info:eu-repo/semantics/openAccess
rights: Please see front page of the work (Sorry, Dublin Core plugin does not recognise license id)
language: eng